Course detail

Structural reliability

FAST-ZD51Acad. year: 2024/2025

Limit states of structures, philosophy of present codes fro design, individual approach.
Methods to calculate a theoretical failure probability, reliability index. Approximation methods FORM, SORM, response surface methodology.
Simulation methods of Monte Carlo type, Latin Hypercube Sampling. Statistical correlation of basic random variables. Advanced simulation methods importance sampling, adaptive sampling.
Stochastic finite element method.
Reliability software and applications.

Language of instruction

Czech

Mode of study

Not applicable.

Guarantor

prof. Ing. Drahomír Novák, DrSc.

Department

Institute of Structural Mechanics (STM)

Entry knowledge

Fundamentals of structural safety and reliability, probability and mathematical statistics, finite element method.

Rules for evaluation and completion of the course

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Aims

Extension of basic knowledge of structural safety and reliability: Advanced simulation methods, stochastic finite element methods, statistical correlation, etc.
To learn and to use an efficient reliability software.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

A. Haldar, S. Mahadevan: Reliability Assessment Using Stochastic Finite Element Analysis. John Wiley and Sons 2000

Recommended literature

Not applicable.

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.

Syllabus

1. Extension of basic knowledge of structural safety and reliability. 2. Limit states of structures, philosophy of present codes fro design, individual approach. 3. Methods to calculate a theoretical failure probability, reliability index. 4. Approximation methods FORM, SORM, response surface methodology. 5. Simulation methods of Monte Carlo type, Latin Hypercube Sampling. 6. Statistical correlation of basic random variables. 7. Advanced simulation methods importance sampling, adaptive sampling. 8. Random processes and random fields - stochastic finite element method. 9. Sensitivity analysis methods. 10. Reliability software. 11. Software SARA for reliability assessment of concrete structures. 12. Application for bridges. 13. Identification of model parameters using artificial neural network.